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Simplifying (1.5d + -2) * x(0.7d + 1) = (4 + -1.3d) * x(2.5d) Reorder the terms: (-2 + 1.5d) * x(0.7d + 1) = (4 + -1.3d) * x(2.5d) Reorder the terms: (-2 + 1.5d) * x(1 + 0.7d) = (4 + -1.3d) * x(2.5d) Reorder the terms for easier multiplication: x(-2 + 1.5d)(1 + 0.7d) = (4 + -1.3d) * x(2.5d) Multiply (-2 + 1.5d) * (1 + 0.7d) x(-2(1 + 0.7d) + 1.5d * (1 + 0.7d)) = (4 + -1.3d) * x(2.5d) x((1 * -2 + 0.7d * -2) + 1.5d * (1 + 0.7d)) = (4 + -1.3d) * x(2.5d) x((-2 + -1.4d) + 1.5d * (1 + 0.7d)) = (4 + -1.3d) * x(2.5d) x(-2 + -1.4d + (1 * 1.5d + 0.7d * 1.5d)) = (4 + -1.3d) * x(2.5d) x(-2 + -1.4d + (1.5d + 1.05d2)) = (4 + -1.3d) * x(2.5d) Combine like terms: -1.4d + 1.5d = 0.1d x(-2 + 0.1d + 1.05d2) = (4 + -1.3d) * x(2.5d) (-2 * x + 0.1d * x + 1.05d2 * x) = (4 + -1.3d) * x(2.5d) Reorder the terms: (0.1dx + 1.05d2x + -2x) = (4 + -1.3d) * x(2.5d) (0.1dx + 1.05d2x + -2x) = (4 + -1.3d) * x(2.5d) Remove parenthesis around (2.5d) 0.1dx + 1.05d2x + -2x = (4 + -1.3d) * x * 2.5d Reorder the terms for easier multiplication: 0.1dx + 1.05d2x + -2x = 2.5x * d(4 + -1.3d) Multiply x * d 0.1dx + 1.05d2x + -2x = 2.5dx(4 + -1.3d) 0.1dx + 1.05d2x + -2x = (4 * 2.5dx + -1.3d * 2.5dx) 0.1dx + 1.05d2x + -2x = (10dx + -3.25d2x) Solving 0.1dx + 1.05d2x + -2x = 10dx + -3.25d2x Solving for variable 'd'. Reorder the terms: 0.1dx + -10dx + 1.05d2x + 3.25d2x + -2x = 10dx + -3.25d2x + -10dx + 3.25d2x Combine like terms: 0.1dx + -10dx = -9.9dx -9.9dx + 1.05d2x + 3.25d2x + -2x = 10dx + -3.25d2x + -10dx + 3.25d2x Combine like terms: 1.05d2x + 3.25d2x = 4.3d2x -9.9dx + 4.3d2x + -2x = 10dx + -3.25d2x + -10dx + 3.25d2x Reorder the terms: -9.9dx + 4.3d2x + -2x = 10dx + -10dx + -3.25d2x + 3.25d2x Combine like terms: 10dx + -10dx = 0 -9.9dx + 4.3d2x + -2x = 0 + -3.25d2x + 3.25d2x -9.9dx + 4.3d2x + -2x = -3.25d2x + 3.25d2x Combine like terms: -3.25d2x + 3.25d2x = 0.00 -9.9dx + 4.3d2x + -2x = 0.00 The solution to this equation could not be determined.
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